Novel convenient conditions for the stability of nonlinear incommensurate fractional-order difference systems

Novel convenient conditions for the stability of nonlinear incommensurate fractional-order difference systems

The absence of satisfactory results that address the stability analysis of nonlinear incommensurate Fractional-order Difference Systems (FoDSs) as well as the impossibility of establishing a proper Lyapunov function that helps us to reveal any stability outcome for those systems, are considered some...

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Autores principales: Mohd Taib Shatnawi, Noureddine Djenina, Adel Ouannas, Iqbal M. Batiha, Giuseppe Grassi
Formato: article
Lenguaje:EN
Publicado: Elsevier 2022
Materias:
Stability
Nonlinear incommensurate fractional-order difference system
Z-transform method
Engineering (General). Civil engineering (General)
TA1-2040
Acceso en línea:https://doaj.org/article/9c46c5fd5e5a4947bc7d3a20266b093c
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spelling oai:doaj.org-article:9c46c5fd5e5a4947bc7d3a20266b093c2021-11-18T04:45:46ZNovel convenient conditions for the stability of nonlinear incommensurate fractional-order difference systems1110-016810.1016/j.aej.2021.06.073https://doaj.org/article/9c46c5fd5e5a4947bc7d3a20266b093c2022-02-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004361https://doaj.org/toc/1110-0168The absence of satisfactory results that address the stability analysis of nonlinear incommensurate Fractional-order Difference Systems (FoDSs) as well as the impossibility of establishing a proper Lyapunov function that helps us to reveal any stability outcome for those systems, are considered some significant nonlinear problems that should be taken into account. To overcome such dilemmas, the present work provides some novel convenient conditions that can be utilized to ensure the asymptotic stability of those systems. In particular, through utilizing some features of the Z-transform scheme, we intend to propose certain results that aim to reveal the stability of the nonlinear incommensurate fractional-order difference system formulated in the sense of the Caputo difference operator. These novel results are completely confirmed by demonstrating the stability of the numerical solutions for two nonlinear difference systems with incommensurate fractional-orders.Mohd Taib ShatnawiNoureddine DjeninaAdel OuannasIqbal M. BatihaGiuseppe GrassiElsevierarticleStabilityNonlinear incommensurate fractional-order difference systemZ-transform methodEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 2, Pp 1655-1663 (2022)
institution DOAJ
collection DOAJ
language EN
topic Stability
Nonlinear incommensurate fractional-order difference system
Z-transform method
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle Stability
Nonlinear incommensurate fractional-order difference system
Z-transform method
Engineering (General). Civil engineering (General)
TA1-2040
Mohd Taib Shatnawi
Noureddine Djenina
Adel Ouannas
Iqbal M. Batiha
Giuseppe Grassi
Novel convenient conditions for the stability of nonlinear incommensurate fractional-order difference systems
description The absence of satisfactory results that address the stability analysis of nonlinear incommensurate Fractional-order Difference Systems (FoDSs) as well as the impossibility of establishing a proper Lyapunov function that helps us to reveal any stability outcome for those systems, are considered some significant nonlinear problems that should be taken into account. To overcome such dilemmas, the present work provides some novel convenient conditions that can be utilized to ensure the asymptotic stability of those systems. In particular, through utilizing some features of the Z-transform scheme, we intend to propose certain results that aim to reveal the stability of the nonlinear incommensurate fractional-order difference system formulated in the sense of the Caputo difference operator. These novel results are completely confirmed by demonstrating the stability of the numerical solutions for two nonlinear difference systems with incommensurate fractional-orders.
format article
author Mohd Taib Shatnawi
Noureddine Djenina
Adel Ouannas
Iqbal M. Batiha
Giuseppe Grassi
author_facet Mohd Taib Shatnawi
Noureddine Djenina
Adel Ouannas
Iqbal M. Batiha
Giuseppe Grassi
author_sort Mohd Taib Shatnawi
title Novel convenient conditions for the stability of nonlinear incommensurate fractional-order difference systems
title_short Novel convenient conditions for the stability of nonlinear incommensurate fractional-order difference systems
title_full Novel convenient conditions for the stability of nonlinear incommensurate fractional-order difference systems
title_fullStr Novel convenient conditions for the stability of nonlinear incommensurate fractional-order difference systems
title_full_unstemmed Novel convenient conditions for the stability of nonlinear incommensurate fractional-order difference systems
title_sort novel convenient conditions for the stability of nonlinear incommensurate fractional-order difference systems
publisher Elsevier
publishDate 2022
url https://doaj.org/article/9c46c5fd5e5a4947bc7d3a20266b093c
work_keys_str_mv AT mohdtaibshatnawi novelconvenientconditionsforthestabilityofnonlinearincommensuratefractionalorderdifferencesystems
AT noureddinedjenina novelconvenientconditionsforthestabilityofnonlinearincommensuratefractionalorderdifferencesystems
AT adelouannas novelconvenientconditionsforthestabilityofnonlinearincommensuratefractionalorderdifferencesystems
AT iqbalmbatiha novelconvenientconditionsforthestabilityofnonlinearincommensuratefractionalorderdifferencesystems
AT giuseppegrassi novelconvenientconditionsforthestabilityofnonlinearincommensuratefractionalorderdifferencesystems
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